Question

Pleaseeee help i don't understand how to do this

Answer 1

`x=(5)/(k)`

Explanation:

Given expression is,

`\text{log}_(3^k)243=x`

By using the law of logarithm,

`(3^k)^x=243`

`3^(kx)=243`

`3^(kx)=3^5`

By comparing exponents on both the sides of the equation,

`kx=5`

`x=(5)/(k)`

Therefore,
`x=(5)/(k)` will be the answer.